105715716601 has 8 divisors (see below), whose sum is σ = 115754961600. Its totient is φ = 95747925840.

The previous prime is 105715716553. The next prime is 105715716607. The reversal of 105715716601 is 106617517501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105715716601 - 2¹¹ = 105715714553 is a prime.

It is a super-2 number, since 2×105715716601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105715716607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17860461 + ... + 17866378.

It is an arithmetic number, because the mean of its divisors is an integer number (14469370200).

Almost surely, 2^105715716601 is an apocalyptic number.

105715716601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105715716601 is a deficient number, since it is larger than the sum of its proper divisors (10039244999).

105715716601 is a wasteful number, since it uses less digits than its factorization.

105715716601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35727119.

The product of its (nonzero) digits is 44100, while the sum is 40.

Subtracting 105715716601 from its reverse (106617517501), we obtain a square (901800900 = 30030²).

The spelling of 105715716601 in words is "one hundred five billion, seven hundred fifteen million, seven hundred sixteen thousand, six hundred one".